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230031331300 = 225289151171167
BaseRepresentation
bin1101011000111011101…
…1111000111111100100
3210222202021112101100001
43112032323320333210
512232101010100200
6253401441431044
722422251024521
oct3261673707744
9728667471301
10230031331300
1189612764971
12386b903b484
13188cc0341b4
14b1c2764148
155eb4bdb76a
hex358eef8fe4

230031331300 has 72 divisors (see below), whose sum is σ = 508122478080. Its totient is φ = 90375648000.

The previous prime is 230031331297. The next prime is 230031331301. The reversal of 230031331300 is 3133130032.

230031331300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230031331301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1258317 + ... + 1429483.

It is an arithmetic number, because the mean of its divisors is an integer number (7057256640).

Almost surely, 2230031331300 is an apocalyptic number.

230031331300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230031331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254061239040).

230031331300 is an abundant number, since it is smaller than the sum of its proper divisors (278091146780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230031331300 is a wasteful number, since it uses less digits than its factorization.

230031331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171421 (or 171414 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 230031331300 its reverse (3133130032), we get a palindrome (233164461332).

The spelling of 230031331300 in words is "two hundred thirty billion, thirty-one million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 151 178 302 356 445 604 755 890 1510 1780 2225 3020 3775 4450 7550 8900 13439 15100 26878 53756 67195 134390 171167 268780 335975 342334 671950 684668 855835 1343900 1711670 3423340 4279175 8558350 15233863 17116700 25846217 30467726 51692434 60935452 76169315 103384868 129231085 152338630 258462170 304677260 380846575 516924340 646155425 761693150 1292310850 1523386300 2300313313 2584621700 4600626626 9201253252 11501566565 23003133130 46006266260 57507832825 115015665650 230031331300